4113987 has 16 divisors (see below), whose sum is σ = 5786880. Its totient is φ = 2594592.

The previous prime is 4113959. The next prime is 4113997. The reversal of 4113987 is 7893114.

It is not a de Polignac number, because 4113987 - 2¹² = 4109891 is a prime.

It is an Ulam number.

4113987 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4113947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7248 + ... + 7794.

It is an arithmetic number, because the mean of its divisors is an integer number (361680).

Almost surely, 2^4113987 is an apocalyptic number.

4113987 is a deficient number, since it is larger than the sum of its proper divisors (1672893).

4113987 is a wasteful number, since it uses less digits than its factorization.

4113987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682.

The product of its digits is 6048, while the sum is 33.

The square root of 4113987 is about 2028.2965759474. The cubic root of 4113987 is about 160.2338637361.

It can be divided in two parts, 41 and 13987, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 4113987 in words is "four million, one hundred thirteen thousand, nine hundred eighty-seven".